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Finding the Fourth Proportional to 10,521.48, 14,506.74 and 8,524.68

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Solution

The fourth proportional to 10,521.48, 14,506.74 and 8,524.68 is: 11,753.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,521.48 : 14,506.74 = 8,524.68 : x
  2. Step 2: Convert to fraction form
    10,521.48/14,506.74 = 8,524.68/x
  3. Step 3: Cross multiply
    10,521.48x = 14,506.74 × 8,524.68
  4. Step 4: Simplify right side
    10,521.48x = 123,665,316.34
  5. Step 5: Solve for x
    x = 123,665,316.34/10,521.48
  6. Step 6: Final answer
    x = 11,753.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.